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Which is the graph of the line with equation y−6=4(x−3)+2?


Number graph ranging from negative four to three on the x axis and negative five to two on the y axis. A line is drawn on the graph that passes through the points (zero, negative four) and (one, zero).


Number graph ranging from negative three to three on the x axis and negative seven to one on the y axis. A line is drawn on the graph that passes through the points (zero, negative six) and (three, zero).


Number graph ranging from negative three to three on the x axis and negative two to five on the y axis. A line is drawn on the graph that passes through the points (negative one, zero) and (zero, four).


Number graph ranging from negative three to three on the x axis and negative two to five on the y axis. A line is drawn on the graph that passes through the points (negative three, zero) and (zero, four).

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The linear equation passes through (0, -4) and (1, 0), so we conclude that the correct option is the first one.

Which is the graph of the given linear equation?

Here we have the linear equation:

y - 6 = 4*(x - 3) + 2

if we rewrite the line in slope-intercept form, we get:

y = 4x - 12 + 2 + 6

y = 4x - 4

Then the y-intercept of the line is (0, -4). And when x = 1, we have:

y = 4*1 - 4 = 0

So the line also passes through (1, 0).

Then the correct option is the first one:

"Number graph ranging from negative four to three on the x-axis and negative five to two on the y-axis. A line is drawn on the graph that passes through the points (zero, negative four) and (one, zero)."

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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